`(tan(pi/4+x))/(tan(pi/4-x)) = ((1+tanx)/(1-tanx))^(2)`

Prove that (tan(pi/4+x))/(tan(pi/4-x))=((1+t a n x)/(1-t a n x))^2

cosec^(-1)((1+tan ^2x)/(2tanx))

If L=lim_(xrarr(pi)/(4))((1-tanx)(1-sin2x))/((1+tanx)(pi-4x)^(3)) , then the value of 4 L is equal to

If tan( pi/4 + x). tan(pi/4 - x) = 1 , then x equals

Prove that: (tan(pi/4+A)+tan(pi/4-A))/(tan(pi/4+A)-tan(pi/4-A))="cosec"2A

(sec2x-tan2x) equals a) tan(x-pi/4) b) tan(pi/4-x) c) cot(x-pi/4) d) tan^2(x+pi/4)

inte^x((2tanx)/(1+tanx)+cot^2(x+pi/4))dxi se q u a lto e^xtan(pi/4-x)+c e^xtan(x-pi/4)+c e^xtan((3pi)/4-x)+c (d) none of these

int tan(pi/4-x)/(cos^2xsqrt(tan^3x+tan^2x+tanx))dx

The value of lim_(xto (pi)/2) sqrt((tanx-sin{tan^(-1)(tanx)})/(tanx+cos^(2)(tanx))) is ………..

If x_(1),x_(2) in (0,(pi)/(2)) , then (tan_(x_(2)))/(tanx_(1)) is (where x_(1)lt x_(2) )